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Finding the Fourth Proportional to 11,704.76, 16,161.02 and 7,234.64

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Solution

The fourth proportional to 11,704.76, 16,161.02 and 7,234.64 is: 9,989.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.76 : 16,161.02 = 7,234.64 : x
  2. Step 2: Convert to fraction form
    11,704.76/16,161.02 = 7,234.64/x
  3. Step 3: Cross multiply
    11,704.76x = 16,161.02 × 7,234.64
  4. Step 4: Simplify right side
    11,704.76x = 116,919,044.75
  5. Step 5: Solve for x
    x = 116,919,044.75/11,704.76
  6. Step 6: Final answer
    x = 9,989.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.